The computation shows that the value of the indices will be C. 4.2 × 10^5
<h3>How to calculate the value?</h3>
From the information given, the value will be:
= (7 × 10³) × (5.4 × 10⁴) / (9 × 10)²
It should be noted that in indices when it's multiplication, the powers will be added and subtracted when it's division.
Therefore,
.= (7 × 10³) × (5.4 × 10⁴) / (9 × 10)²
= 4.2 × 10^5
In conclusion, the correct option is C.
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Answer:
0 < f(x) ≤ 3/4, or (0, 3/4]
Step-by-step explanation:
x² - x + 1 = x² - x + 1/4 + 3/4 = (x - 1/2)² + 3/4
It is always positive and has a minimum value of 3/4 at x = 1/2
So f(x) is always positive (not equal zero) and has a maximum value of 3/4
Then the range is 0 < f(x) ≤ 3/4, or (0, 3/4]
Answer:
80 in²
Step-by-step explanation:
8/10 = x/100
x = 80
Okay, first, given the equation, we need to find out what the radius of the circle is. Let us state the general equation of a circle:
Where
is the centre of the circle. In this case, we don't need to know the centre. Just the radius.
Let us start by converting the equation into standard for, which I typed above. Divide both sides by 81.
Great! We now know the radius of the circle. It is
because it is the bottom fraction. Now we know that the radius is 9.
So now lets input this into the area of circle formula:
Now we insert our radius.
You can convert that into a decimal if you wish.
Hope this helped!
~Cam943, Moderator
Answer:
40% decrease
Step-by-step explanation:
This is a decrease since the amount got smaller
To find the percent decrease, take the original amount and subtract the new amount
70-42 = 28
Divide this by the original amount
28/70=.40
Change to percent form by multiplying by 100
.40*100% = 40%